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Finding the Fourth Proportional to 273,275.10, 409,866.12 and 73,550.97

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Solution

The fourth proportional to 273,275.10, 409,866.12 and 73,550.97 is: 110,313.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,275.10 : 409,866.12 = 73,550.97 : x
  2. Step 2: Convert to fraction form
    273,275.10/409,866.12 = 73,550.97/x
  3. Step 3: Cross multiply
    273,275.10x = 409,866.12 × 73,550.97
  4. Step 4: Simplify right side
    273,275.10x = 30,146,050,696.14
  5. Step 5: Solve for x
    x = 30,146,050,696.14/273,275.10
  6. Step 6: Final answer
    x = 110,313.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.